Pith Number

pith:QFHSFVVH

pith:2010:QFHSFVVHSSCUYJ4JBTTPGZ4MBF

not attested not anchored not stored refs pending

Koppelman formulas on flag manifolds

H{\aa}kan Samuelsson, Henrik Sepp\"anen

arxiv:1003.5646 v2 · 2010-03-29 · math.CV · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFHSFVVHSSCUYJ4JBTTPGZ4MBF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:33:15.803893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

814f22d6a794854c27890ce6f3678c0944b6fbee55da46e9f035316464672d16

Aliases

arxiv: 1003.5646 · arxiv_version: 1003.5646v2 · doi: 10.48550/arxiv.1003.5646 · pith_short_12: QFHSFVVHSSCU · pith_short_16: QFHSFVVHSSCUYJ4J · pith_short_8: QFHSFVVH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QFHSFVVHSSCUYJ4JBTTPGZ4MBF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 814f22d6a794854c27890ce6f3678c0944b6fbee55da46e9f035316464672d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b108d08da33de38aea84dc8b6b3221f4d3cf3437443d99cbc56cae2c72e49095",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-03-29T19:36:49Z",
    "title_canon_sha256": "491805b49f97a880223b9e403402f5392153cb763e7e72bb9d01a5276a8ef94b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5646",
    "kind": "arxiv",
    "version": 2
  }
}